{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets, manifold, manifold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用sklearn自带的鸢尾花分类数据\n",
    "def load_data():\n",
    "    iris = datasets.load_iris()\n",
    "    return iris.data,iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_Isomap(*data):\n",
    "    x,y = data\n",
    "    for n in (4,3,2,1):\n",
    "        isomap = manifold.Isomap(n_components=n)\n",
    "        isomap.fit(x)\n",
    "        # 显示重构误差\n",
    "        print('reconstruction_error(n_components={0}) :{1}'.format(n,isomap.reconstruction_error()))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "reconstruction_error(n_components=4) :1.0097180068081744\n",
      "reconstruction_error(n_components=3) :1.0182845146289834\n",
      "reconstruction_error(n_components=2) :1.0276983764330463\n",
      "reconstruction_error(n_components=1) :1.0716642763207656\n"
     ]
    }
   ],
   "source": [
    "x,y =load_data()\n",
    "test_Isomap(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 将数据降低至2维\n",
    "def plot_Isomap_k(*data):\n",
    "    x,y = data\n",
    "    Ks = [1,5,25,y.size-1]\n",
    "    fig = plt.figure()\n",
    "    fig.set_figheight(10)\n",
    "    fig.set_figwidth(20)\n",
    "    for i,k in enumerate(Ks):\n",
    "        isomap = manifold.Isomap(n_components=2, n_neighbors=k)\n",
    "        x_r = isomap.fit_transform(x)\n",
    "        \n",
    "        ax = fig.add_subplot(2,2,i+1)\n",
    "        colors=((1,0,0),(0,1,0),(0,0,1),(0.5,0.5,0),(0,0.5,0.5),(0.5,0,0.5),(0.4,0.6,0),(0.6,0.4,0),(0,0.6,0.4),(0.5,0.3,0.2),)\n",
    "        for label,color in zip(np.unique(y),colors):\n",
    "            position =y==label\n",
    "            ax.scatter(x_r[position,0],x_r[position,1],label='target={0}'.format(label),color=color)\n",
    "    \n",
    "        ax.set_xlabel('X[0]')\n",
    "        ax.set_ylabel('Y[0]')\n",
    "        ax.legend(loc='best')\n",
    "        ax.set_title('k ={0}'.format(k))\n",
    "    plt.suptitle('Isomap')\n",
    "    plt.show()\n",
    "\n",
    "x,y =load_data()\n",
    "plot_Isomap_k(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 将数据降低至1维\n",
    "def plot_Isomap_k_d1(*data):\n",
    "    x,y = data\n",
    "    Ks = [1,5,25,y.size-1]\n",
    "    fig = plt.figure()\n",
    "    fig.set_figheight(10)\n",
    "    fig.set_figwidth(20)\n",
    "    for i,k in enumerate(Ks):\n",
    "        isomap = manifold.Isomap(n_components=1, n_neighbors=k)\n",
    "        x_r = isomap.fit_transform(x)\n",
    "        \n",
    "        ax = fig.add_subplot(2,2,i+1)\n",
    "        colors=((1,0,0),(0,1,0),(0,0,1),(0.5,0.5,0),(0,0.5,0.5),(0.5,0,0.5),(0.4,0.6,0),(0.6,0.4,0),(0,0.6,0.4),(0.5,0.3,0.2),)\n",
    "        for label,color in zip(np.unique(y),colors):\n",
    "            position =y==label\n",
    "            ax.scatter(x_r[position,0], np.zeros_like(x_r[position]), label='target={0}'.format(label),color=color)\n",
    "    \n",
    "        ax.set_xlabel('X')\n",
    "        ax.set_ylabel('Y')\n",
    "        ax.legend(loc='best')\n",
    "        ax.set_title('k ={0}'.format(k))\n",
    "    plt.suptitle('Isomap')\n",
    "    plt.show()\n",
    "\n",
    "x,y =load_data()\n",
    "plot_Isomap_k_d1(x,y)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
